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Finding the Third Proportional to 230,100 and 504,480

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Solution

The third proportional to 230,100 and 504,480 is: 1,106,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,100 : 504,480 = 504,480 : x
  2. Step 2: Convert to fraction form
    230,100/504,480 = 504,480/x
  3. Step 3: Cross multiply
    230,100x = 504,480 × 504,480
  4. Step 4: Simplify right side
    230,100x = 254,500,070,400
  5. Step 5: Solve for x
    x = 254,500,070,400/230,100
  6. Step 6: Final answer
    x = 1,106,041.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.